Generalized ordinary differential equations in metric spaces
Classical Analysis and ODEs
2018-02-12 v1 Dynamical Systems
Metric Geometry
Abstract
The aim of this text is to extend the theory of generalized ordinary differential equations to the setting of metric spaces. We present existence and uniqueness theorems that significantly improve previous results even when restricted back to Euclidean spaces.
Cite
@article{arxiv.1802.03083,
title = {Generalized ordinary differential equations in metric spaces},
author = {Břetislav Skovajsa},
journal= {arXiv preprint arXiv:1802.03083},
year = {2018}
}